MinT - Information on Result #948182

Information on Result #948182

Linear OOA(2¹²⁹, 61, F₂, 3, 41) (dual of [(61, 3), 54, 42]-NRT-code), using OOA 3-folding based on linear OA(2¹²⁹, 183, F₂, 41) (dual of [183, 54, 42]-code), using

discarding factors / shortening the dual code based on linear OA(2¹²⁹, 185, F₂, 41) (dual of [185, 56, 42]-code), using
- concatenation of two codes [i] based on
  1. linear OA(16²³, 37, F₁₆, 20) (dual of [37, 14, 21]-code), using
    - discarding factors / shortening the dual code based on linear OA(16²³, 38, F₁₆, 20) (dual of [38, 15, 21]-code), using
      - extended algebraic-geometric code AG_e(F,17P) [i] based on function field F/F₁₆ with g(F) = 3 and N(F) ≥ 38, using
        a function field by SÃ©mirat [i]
  2. linear OA(2¹, 5, F₂, 1) (dual of [5, 4, 2]-code), using
    - discarding factors / shortening the dual code based on linear OA(2¹, s, F₂, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
      - parity-check code [i]

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.

Other Results with Identical Parameters

None.

Depending Results

None.